2013 Grade 4 Math Challenge – Division Level with answer key

Below are the 2013 MTAP Grade 4 Math Challenge Division level questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) What are the two consecutive numbers with sum of 89?

2.) Write the sum of \dfrac {3}{4} and \dfrac {2}{4} in decimal form.

3.) A steamer is 3.5 m long. How long is it in centimeters?

4.) If 25 \times 25 = 625 , what is 0.25 \times 0.25 equal to?

5.) What is the least common multiple of 8, 12, and 24?

6.) Express 5.2 as a fraction in lowest terms.

7.) What is the reciprocal of 4 \dfrac {5}{12}

8.) For every 3 boys in a class, there are 5 girls. If there are 25 girls, how many are boys?

9.) If you increase eighteen and fifty-four hundredths by twenty-six thousandths, what is the result?

10.) A vendor had 64 avocados in her stall. She sold \dfrac {7}{8} of them. How many avocados were left?

11.) What is the next number in the sequence: 56, 67, 78, 89?

Average

1.) One side of square is 12 cm long. If each side is increased by 3 cm, by how many centimeters is its perimeter increased?

2.) What is the remainder when 549 is divided by 45?

3.) A class with 48 pupils ordered fruit juices. One-third of them ordered grape juice, \dfrac {1}{2} ordered orange juice, and the rest ordered apple juice. How many pupils ordered apple juice?

4.) What number multiplied by itself will have the same product as 25 \times 9

5.) Cathy got 75% on a math test. How many items did she answer correctly, if there were 60 questions in the test?

6.) What is the greatest common factor of 45, 60, and 120?

Difficult

1.) Merly has six 20-peso bills, five 30-peso bills and five 100-peso bills in her wallet. How much money does she have?

2.) A baby dress needs 2.5 dm of lace. How many baby dresses can be adorned with 12 m of lace?

3.) T-shirts selling regularly for Php 300 are on sale at 25% discount. How much will \dfrac {1}{2} dozen T-shirts cost?

4.) What is the smallest, whole number which when divided by 6 gives a remainder of 1 when divided by 11 gives a remainder of 6?

5.) Bob and Rex together have Php 2400. If Bob owns \dfrac {2}{3} of the amount and Rex owns the rest, how much does each of them have?

6.) Last year’s enrollment in Grade 4 was 220. This year, the number of enrollees increased by 35%. How many Grade 4 pupils are enrolled now?

Tiebreaker

1.) A number multiplied by 8 and divided by 3 gives 40. What is the number?

2.) Two squares with a perimeter of 64 cm each are placed side by side. What is the perimeter of the resulting figure?

3.) Cupcakes are sold in packages of 10 and 15. If you need exactly 100 cupcakes for a children’s party, what is the smallest number of both packages that you need to buy?

Do-or-Die

1.) The sum of three whole numbers, A, B, and C is 69. Suppose that A is 20% more than B while B is 20% less than C. Find the value of C.

Answer Key

Easy
1.) 44 and 45
2.) 1.25
3.) 350
4.) 0.0625
5.) 24
6.) \dfrac {26}{5}
7.) \dfrac {12}{53}
8.) 15
9.) 18.566
10.) 8
11) 100

Average
1.) 12
2.) 9
3.) 8
4.) 15
5.) 45
6.) 15

Difficult
1.) Php 770
2.) 48
3.) Php 1350
4.) 61
5.) Bob: Php 1600; Rex: Php 800
6.) 297

Tiebreaker
1.) 15
2.) 96 cm
3.) 4 of each

Do-or-Die
1.) 25

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